Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2027241495', 'doi': 'https://doi.org/10.1007/s10957-007-9232-y', 'title': 'Primal-Dual Simplex Method for Multiobjective Linear Programming', 'display_name': 'Primal-Dual Simplex Method for Multiobjective Linear Programming', 'publication_year': 2007, 'publication_date': '2007-07-12', 'ids': {'openalex': 'https://openalex.org/W2027241495', 'doi': 'https://doi.org/10.1007/s10957-007-9232-y', 'mag': '2027241495'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10957-007-9232-y', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S52430896', 'display_name': 'Journal of Optimization Theory and Applications', 'issn_l': '0022-3239', 'issn': ['0022-3239', '1573-2878'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5019869178', 'display_name': 'Matthias Ehrgott', 'orcid': 'https://orcid.org/0000-0003-4648-4066'}, 'institutions': [{'id': 'https://openalex.org/I154130895', 'display_name': 'University of Auckland', 'ror': 'https://ror.org/03b94tp07', 'country_code': 'NZ', 'type': 'education', 'lineage': ['https://openalex.org/I154130895']}], 'countries': ['NZ'], 'is_corresponding': False, 'raw_author_name': 'M. Ehrgott', 'raw_affiliation_strings': ['Department of Engineering Science, University of Auckland, Auckland, New Zealand'], 'affiliations': [{'raw_affiliation_string': 'Department of Engineering Science, University of Auckland, Auckland, New Zealand', 'institution_ids': ['https://openalex.org/I154130895']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5088287025', 'display_name': 'Justo Puerto', 'orcid': 'https://orcid.org/0000-0003-4079-8419'}, 'institutions': [{'id': 'https://openalex.org/I79238269', 'display_name': 'Universidad de Sevilla', 'ror': 'https://ror.org/03yxnpp24', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I79238269']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'J. Puerto', 'raw_affiliation_strings': ['Departamento de Estadistica e Investigación Operativa , Universidad de Sevilla , Sevilla, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Estadistica e Investigación Operativa , Universidad de Sevilla , Sevilla, Spain', 'institution_ids': ['https://openalex.org/I79238269']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5011134234', 'display_name': 'Antonio M. Rodríguez‐Chía', 'orcid': 'https://orcid.org/0000-0002-1708-2108'}, 'institutions': [{'id': 'https://openalex.org/I39147953', 'display_name': 'Universidad de Cádiz', 'ror': 'https://ror.org/04mxxkb11', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I39147953']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'A. M. Rodríguez-Chía', 'raw_affiliation_strings': ['Departamento de Estadística e Investigación Operativa, Universidad de Cádiz, Cádiz, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Estadística e Investigación Operativa, Universidad de Cádiz, Cádiz, Spain', 'institution_ids': ['https://openalex.org/I39147953']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.51, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 28, 'citation_normalized_percentile': {'value': 0.865077, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 90, 'max': 91}, 'biblio': {'volume': '134', 'issue': '3', 'first_page': '483', 'last_page': '497'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10848', 'display_name': 'Advanced Multi-Objective Optimization Algorithms', 'score': 0.9979, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10848', 'display_name': 'Advanced Multi-Objective Optimization Algorithms', 'score': 0.9979, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10963', 'display_name': 'Advanced Optimization Algorithms Research', 'score': 0.9967, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10545', 'display_name': 'Optimization and Variational Analysis', 'score': 0.9945, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/simplex', 'display_name': 'Simplex', 'score': 0.7615489}, {'id': 'https://openalex.org/keywords/theory-of-computation', 'display_name': 'Theory of computation', 'score': 0.66647243}, {'id': 'https://openalex.org/keywords/interior-point-method', 'display_name': 'Interior point method', 'score': 0.6303537}, {'id': 'https://openalex.org/keywords/revised-simplex-method', 'display_name': 'Revised simplex method', 'score': 0.56820357}, {'id': 'https://openalex.org/keywords/criss-cross-algorithm', 'display_name': 'Criss-cross algorithm', 'score': 0.46396697}, {'id': 'https://openalex.org/keywords/multiobjective-programming', 'display_name': 'Multiobjective programming', 'score': 0.41912964}], 'concepts': [{'id': 'https://openalex.org/C144521790', 'wikidata': 'https://www.wikidata.org/wiki/Q134164', 'display_name': 'Simplex algorithm', 'level': 3, 'score': 0.8602}, {'id': 'https://openalex.org/C41045048', 'wikidata': 'https://www.wikidata.org/wiki/Q202843', 'display_name': 'Linear programming', 'level': 2, 'score': 0.7744695}, {'id': 'https://openalex.org/C62438384', 'wikidata': 'https://www.wikidata.org/wiki/Q331350', 'display_name': 'Simplex', 'level': 2, 'score': 0.7615489}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.72538865}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.6839446}, {'id': 'https://openalex.org/C24858836', 'wikidata': 'https://www.wikidata.org/wiki/Q844718', 'display_name': 'Theory of computation', 'level': 2, 'score': 0.66647243}, {'id': 'https://openalex.org/C155253501', 'wikidata': 'https://www.wikidata.org/wiki/Q461992', 'display_name': 'Interior point method', 'level': 2, 'score': 0.6303537}, {'id': 'https://openalex.org/C2780980858', 'wikidata': 'https://www.wikidata.org/wiki/Q110022', 'display_name': 'Dual (grammatical number)', 'level': 2, 'score': 0.62174904}, {'id': 'https://openalex.org/C205658194', 'wikidata': 'https://www.wikidata.org/wiki/Q4168281', 'display_name': 'Linear-fractional programming', 'level': 3, 'score': 0.58074796}, {'id': 'https://openalex.org/C191157680', 'wikidata': 'https://www.wikidata.org/wiki/Q17085895', 'display_name': 'Revised simplex method', 'level': 4, 'score': 0.56820357}, {'id': 'https://openalex.org/C137635306', 'wikidata': 'https://www.wikidata.org/wiki/Q182667', 'display_name': 'Pareto principle', 'level': 2, 'score': 0.5660263}, {'id': 'https://openalex.org/C52486349', 'wikidata': 'https://www.wikidata.org/wiki/Q17006040', 'display_name': 'Criss-cross algorithm', 'level': 4, 'score': 0.46396697}, {'id': 'https://openalex.org/C28719098', 'wikidata': 'https://www.wikidata.org/wiki/Q44946', 'display_name': 'Point (geometry)', 'level': 2, 'score': 0.42098427}, {'id': 'https://openalex.org/C2988952207', 'wikidata': 'https://www.wikidata.org/wiki/Q2052203', 'display_name': 'Multiobjective programming', 'level': 3, 'score': 0.41912964}, {'id': 'https://openalex.org/C68781425', 'wikidata': 'https://www.wikidata.org/wiki/Q2052203', 'display_name': 'Multi-objective optimization', 'level': 2, 'score': 0.39639536}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.25710148}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.08723107}, {'id': 'https://openalex.org/C142362112', 'wikidata': 'https://www.wikidata.org/wiki/Q735', 'display_name': 'Art', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C124952713', 'wikidata': 'https://www.wikidata.org/wiki/Q8242', 'display_name': 'Literature', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10957-007-9232-y', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S52430896', 'display_name': 'Journal of Optimization Theory and Applications', 'issn_l': '0022-3239', 'issn': ['0022-3239', '1573-2878'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://econpapers.repec.org/RePEc:spr:joptap:v:134:y:2007:i:3:d:10.1007_s10957-007-9232-y', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306401271', 'display_name': 'RePEc: Research Papers in Economics', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I77793887', 'host_organization_name': 'Federal Reserve Bank of St. Louis', 'host_organization_lineage': ['https://openalex.org/I77793887'], 'host_organization_lineage_names': ['Federal Reserve Bank of St. Louis'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 24, 'referenced_works': ['https://openalex.org/W1278184806', 'https://openalex.org/W1486643454', 'https://openalex.org/W1503327452', 'https://openalex.org/W1549610687', 'https://openalex.org/W173895910', 'https://openalex.org/W1977545325', 'https://openalex.org/W1993123118', 'https://openalex.org/W2022266599', 'https://openalex.org/W2036737894', 'https://openalex.org/W2037201033', 'https://openalex.org/W2051876207', 'https://openalex.org/W2062260081', 'https://openalex.org/W2072866475', 'https://openalex.org/W2080598555', 'https://openalex.org/W2082396019', 'https://openalex.org/W2153015072', 'https://openalex.org/W2153504150', 'https://openalex.org/W2266946488', 'https://openalex.org/W251973404', 'https://openalex.org/W25288802', 'https://openalex.org/W4211127055', 'https://openalex.org/W4252315058', 'https://openalex.org/W4291236916', 'https://openalex.org/W4300640952'], 'related_works': ['https://openalex.org/W61976518', 'https://openalex.org/W4241669136', 'https://openalex.org/W2784100870', 'https://openalex.org/W2337360258', 'https://openalex.org/W2293098548', 'https://openalex.org/W2133667137', 'https://openalex.org/W2114808974', 'https://openalex.org/W2007816884', 'https://openalex.org/W2007464938', 'https://openalex.org/W1709621369'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2027241495', 'counts_by_year': [{'year': 2023, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 4}, {'year': 2018, 'cited_by_count': 4}, {'year': 2016, 'cited_by_count': 3}, {'year': 2015, 'cited_by_count': 4}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 2}], 'updated_date': '2024-12-13T09:57:43.087571', 'created_date': '2016-06-24'}